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Finding the Fourth Proportional to 9,136.72, 13,705.02 and 2,211.22

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Solution

The fourth proportional to 9,136.72, 13,705.02 and 2,211.22 is: 3,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.72 : 13,705.02 = 2,211.22 : x
  2. Step 2: Convert to fraction form
    9,136.72/13,705.02 = 2,211.22/x
  3. Step 3: Cross multiply
    9,136.72x = 13,705.02 × 2,211.22
  4. Step 4: Simplify right side
    9,136.72x = 30,304,814.32
  5. Step 5: Solve for x
    x = 30,304,814.32/9,136.72
  6. Step 6: Final answer
    x = 3,316.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.